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Finding the Fourth Proportional to 285.15, 427.61 and 102.56

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Solution

The fourth proportional to 285.15, 427.61 and 102.56 is: 153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 427.61 = 102.56 : x
  2. Step 2: Convert to fraction form
    285.15/427.61 = 102.56/x
  3. Step 3: Cross multiply
    285.15x = 427.61 × 102.56
  4. Step 4: Simplify right side
    285.15x = 43,855.68
  5. Step 5: Solve for x
    x = 43,855.68/285.15
  6. Step 6: Final answer
    x = 153.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.